Okay, @dochawk.
If I’m not mistaken, the basic Eastern Catholic point on the Pope is that he’s an Ecumenical Patriarch of the whole Church and the Hierarch of the Latin Church.
So, the basic point is that the EC churches are in communion with the Pope.
However: The author of the booklet, a Fr Deacon in an EC Church; has said that ECs are in communion with and are under the Pope.
So, I’m confused. Please help me understand you.
As for my other points of interest in Eastern theology:
1: One of the things that greatly intrigue me is that Eastern theology is descriptive and apophatic in comparison with Latin theology. That a theologian is only a theologian based on his/her experience of God. Experiential theology over speculative.
2: The idea of sin as sickness.
3: The concept of synergeia. That the heart ( nous ) cooperates with God’s Energeia in the process of theosis.
4: Regarding the Sacraments as Holy Mysteries.
So far, I hope I’m understanding these four points correctly.